Ground state properties of the SSH model

DOI10.1007/s10955-012-0598-3zbMath1259.82145OpenAlexW1968315828MaRDI QIDQ694608

Tadahiro Miyao

Publication date: 13 December 2012

Published in: Journal of Statistical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10955-012-0598-3

zbMATH Keywords

ground statespin-reflection positivitySSH model

Mathematics Subject Classification ID

Statistical mechanics of polymers (82D60) Dynamic lattice systems (kinetic Ising, etc.) and systems on graphs in time-dependent statistical mechanics (82C20) Constructive quantum field theory (81T08) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20) Connectivity (05C40)

Related Items (12)

Quantum Griffiths inequalities ⋮ Nagaoka's theorem in the Holstein-Hubbard model ⋮ Monotonicity of the polaron energy. II: General theory of operator monotonicity ⋮ Ground state properties of the periodic Anderson model with electron-phonon interactions ⋮ Thermal stability of the Nagaoka-Thouless theorems ⋮ Reflection positivity. Abstracts from the workshop held November 26 -- December 2, 2017 ⋮ Long-range charge order in the extended Holstein-Hubbard model ⋮ Rigorous results concerning the Holstein-Hubbard model ⋮ Electron-phonon interaction in Kondo lattice systems ⋮ Correlation inequalities for Schrödinger operators ⋮ Stability of ferromagnetism in many-electron systems ⋮ Upper bounds on the charge susceptibility of many-electron systems coupled to the quantized radiation field

Cites Work

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• Quantum Griffiths inequalities
• Note on the one-dimensional Holstein-Hubbard model
• Direct integrals of selfdual cones and standard forms of von Neumann algebras
• Axioms for Euclidean Green's functions
• Lieb's spin-reflection-positivity method and its applications to strongly correlated electron systems
• Existence and uniqueness of physical ground states
• SELF-DUAL CONE ANALYSIS IN CONDENSED MATTER PHYSICS
• Ordering Energy Levels of Interacting Spin Systems
• Invariant Cones and Uniqueness of the Ground State for Fermion Systems

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